[{"_1":2,"_374":-5,"_375":-5},"loaderData",{"_3":4,"_31":32},"root",{"_5":6,"_28":29,"_30":-5},"registerModalConfig",{"_7":8,"_15":16},"blockedConfig",{"_9":10,"_15":16,"_17":18,"_21":22,"_24":25},"answerQuestion",{"_11":12,"_13":14},"subtitle","Crie sua conta gratuita e utilize todos os nossos recursos de questões disponiveis","title","Para responder, cadastre-se gratuitamente","customBlockedUI",true,"defaultRegister",{"_11":19,"_13":20},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis","Cadastre-se gratuitamente","imageSearch",{"_11":19,"_13":23},"Para buscar por imagem, cadastre-se gratuitamente","questionAnswer",{"_11":26,"_13":27},"Crie sua conta gratuita e utilize todos os nossos recursos disponíveis para responder","Para ver a resposta, cadastre-se gratuitamente","url","https://prouniversitario.com/exercicios/ab7673de-9e4e-4b0c-a167-20309eecc7e3","user","pages/questions/show/index",{"_33":34,"_35":36,"_37":36,"_38":39,"_122":123,"_214":215,"_51":286,"_348":349,"_370":371,"_372":373},"comments",[],"hasVideoHash",false,"isAiGenerated","question",{"_40":41,"_42":41,"_43":44,"_45":46,"_96":97,"_116":41,"_117":118,"_119":120,"_121":16},"correctOptionId","","difficulty","id","ab7673de-9e4e-4b0c-a167-20309eecc7e3","metadata",{"_47":48,"_92":93,"_94":95},"pd",{"_49":50,"_51":52,"_67":68,"_80":81,"_82":83,"_84":16,"_85":86,"_87":16,"_88":89,"_90":91},"area","Outros","tags",[53,59,63],{"_43":54,"_55":56,"_57":58},1147,"name","resistência","alias","resistencia",{"_43":60,"_55":61,"_57":62},3433,"Resistência dos materiais","resistencia-dos-materiais",{"_43":64,"_55":65,"_57":66},408501,"Resumo-de-Resmat","resumo-de-resmat","subjects",[69,73,77],{"_43":70,"_55":71,"_57":72},670702,"Hidráulica","hidraulica",{"_43":74,"_55":75,"_57":76},678643,"Análise Estrutural","analise-estrutural",{"_43":78,"_55":79,"_57":62},1663620,"Resistência dos Materiais","materialId","5379199","answerCount",1,"isIndexable","mainSubject",{"_43":78,"_55":79,"_57":62},"isIndexableSEO","materialFormat","Text","studentDegreeLevel","Graduate","source","PD","externalId","132449937","options",[98,104,108,112],{"_43":99,"_100":101,"_102":103},"c3971168-43c2-4b19-a718-e6d03937447e","label","A","text","O critério de Tresca é utilizado para materiais dúcteis.",{"_43":105,"_100":106,"_102":107},"e4856187-7729-43b8-95f5-ea6cfa10a355","B","O critério de Tresca é baseado na presença da tensão de cisalhamento que corta a superfície da estrutura.",{"_43":109,"_100":110,"_102":111},"b4cc97bf-5245-4144-a6ce-5b13b640e654","C","O critério de Tresca é um critério obsoleto.",{"_43":113,"_100":114,"_102":115},"614d5901-6c76-428e-85e5-1bf68814629a","D","O critério de Tresca é adequado para materiais frágeis.","solution_explanation","statement","

Qual das afirmações sobre o critério de Tresca é verdadeira?

","status","pending_classification","hasRelatedVideo","relatedVideos",[124],{"_125":126,"_144":145,"_51":160,"_195":196,"_213":161},"content",{"_43":127,"_55":128,"_129":-5,"_130":131,"_132":133,"_134":-5,"_45":135,"_138":139,"_140":139,"_141":-5,"_142":143},"468e3e62-35e0-47be-a15f-68dd43bb32bb","Óptica Geométrica - Parte 1","description","content_type_id","1051eee7-c62e-4b2c-9900-77a29fcec080","resource_id","fa6aaf42-4cc4-4d76-8915-7a67081f7e9a","user_id",{"_136":137},"external_id","4963","created_at","2025-08-20T12:27:41.608438+00:00","updated_at","content_group_id","slug","optica-geometrica-parte-1","prometheusData",{"_146":147,"_153":154,"_155":156,"_157":158,"_28":159},"provider",{"_43":148,"_149":150,"_151":152},"06f120be-2194-4548-8336-7ba44ffbae14","key","grupo_q_proteus","kind","proteus","reference","d80487a0-0f98-42c8-99bb-551165ba3068","state","completed","thumbnail_url","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/thumbnailsthumb.0000000.jpg","https://proteus.grupoq.io/videos/d80487a0-0f98-42c8-99bb-551165ba3068/levels.m3u8",[161],{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":169,"_142":164,"_176":177},"9772e958-72c6-4499-ad47-877cf94d670d","Exatas","exatas","tag_group_id","c1ce2cf2-b217-4cc7-8182-81c56bd3522d","parent_id","2025-04-29T01:56:45.284172+00:00",{"_170":171,"_172":173,"_174":175},"childrenCount",18,"content_count",0,"question_count",135489,"children",[178],{"_43":179,"_55":180,"_57":181,"_165":166,"_167":162,"_138":182,"_140":182,"_45":183,"_142":186,"_176":187},"ca6fee0e-79c6-4f1c-b500-ee081a071949","Mecânica","mecanica","2025-04-29T02:19:12.828432+00:00",{"_170":184,"_172":173,"_174":185},10,19948,"mecanica-2",[188],{"_43":189,"_55":79,"_57":62,"_165":166,"_167":179,"_138":190,"_140":190,"_45":191,"_142":193,"_176":194},"ac55bdba-154d-42e7-bc25-72dde822663d","2025-04-29T03:44:29.139762+00:00",{"_170":173,"_172":173,"_174":192},3376,"resistencia-dos-materiais-4",[],"video",{"_43":133,"_13":128,"_129":-5,"_197":198,"_199":200,"_28":-5,"_201":-5,"_146":200,"_202":203,"_157":-5,"_204":-5,"_205":-5,"_206":-5,"_207":-5,"_45":208,"_209":173,"_210":-5,"_119":211,"_138":212,"_140":212},"duration",20,"source_type","prometheus","iframe_url","provider_video_id","1cd3d633-d690-4f4b-9995-9b0e44994e35","format","quality","file_path","file_size",{"_136":137},"views_count","last_played_at","draft","2025-08-19T11:56:20.758718+00:00","tag","similarQuestions",[216,247,265],{"_40":217,"_42":41,"_43":218,"_96":219,"_116":235,"_117":236,"_51":237},"112831da-be9c-458e-94cb-e8292d0dba12","3c0b9441-b878-4896-8bac-fa4ca61e3f13",[220,223,226,229,232],{"_43":221,"_100":101,"_102":222},"265bd71a-6749-41f5-b291-67efd646ca64","y'' + 2y' - 3y = 0",{"_43":224,"_100":106,"_102":225},"6d3c3a1d-8e80-4ff3-b97a-d5b5bca91940","6y'' - y' - y = 0",{"_43":227,"_100":110,"_102":228},"4168ac67-64fd-46ed-a69c-a01dbfcde7ea","y'' - 2y' + y = 0",{"_43":230,"_100":114,"_102":231},"cc7bc8df-6995-4264-ac5a-32ea9b4ed7db","9y'' + 6y' + y = 0",{"_43":217,"_100":233,"_102":234},"E","y'' - 2y' + 6y = 0","Somente em y''−2y'+6y=0 o polinômio característico r²−2r+6=0 tem Δ<0, gerando raízes complexas conjugadas (1±i√5) e, portanto, solução em termos de exponencial modulando seno e cosseno. Nos demais itens (a–d) o discriminante é ≥0, produzindo raízes reais (distintas ou repetidas).","

Resolva as seguintes EDOs determinando a solução geral e, quando houver condições iniciais do PVI, a solução particular.

(a) y'' + 2y' - 3y = 0

(b) 6y'' - y' - y = 0

(d) 9y'' + 6y' + y = 0

(e) y'' - 2y' + 6y = 0

(f) 4y'' + 9y = 0

(g) 6y'' - 5y' + y = 0; \\, y(0) = 4; \\, y'(0) = 0

(h) y'' + 4y' + 4y = 0; \\, y(-1) = 2; \\, y'(-1) = 1

(i) y'' + y = 0; \\, y\bigg(\\frac{\\pi}{3}\\bigg) = 2; \\, y'\\bigg(\\frac{\\pi}{3}\\bigg) = -4

(j) y'' - 2y' - 3y = 3e^{2t}

(k) y'' + 9y = t^2 e^{3t} + 6

(l) 2y'' + 3y' + y = t^2 + 3 \\sin(t)

(m) y'' + y' - 2y = 2t; \\, y(0) = 0; \\, y'(0) = 1

(n) y'' - 2y' + y = te^t + 4; \\, y(0) = 1; \\, y'(0) = 1

(o) y'' + 4y = 3 \\sin(2t); \\, y(0) = 2; \\, y'(0) = -1

",[238],{"_43":239,"_55":240,"_57":241,"_165":166,"_167":242,"_138":243,"_140":243,"_45":244,"_142":241},"6516bbbd-f2a3-4710-8382-702240b17836","Mecânica na Engenharia de Petróleo","mecanica-na-engenharia-de-petroleo","b787e438-0ab3-454c-ab43-5d3d14c2720d","2025-04-29T03:44:35.328997+00:00",{"_170":245,"_172":173,"_174":246},4,12302,{"_40":248,"_42":41,"_43":249,"_96":250,"_116":262,"_117":263,"_51":264},"6831a9b9-c9a4-4a76-bd7a-2ce98bfea875","93a32dd4-5fc6-4ccb-a76f-4724bf113742",[251,254,257,259],{"_43":252,"_100":101,"_102":253},"13e3f476-a0a5-421f-b47e-0969e8e9a7e0","

Verdadeiro, verdadeiro, falso

",{"_43":255,"_100":106,"_102":256},"c9a20855-d84b-4860-8b35-9784818282cf","

Falso, verdadeiro, verdadeiro

",{"_43":248,"_100":110,"_102":258},"

Verdadeiro, falso, verdadeiro

",{"_43":260,"_100":114,"_102":261},"3c98539b-1af9-4d44-aecd-c266754a2075","

Falso, falso, falso

","85,5 % decomposto → 14,5 % restante.\nN/N0 = 0,145 ⇒ t = ln(1/0,145)/(ln2/5730) ≈ 1,6×10⁴ anos.\nItens prováveis: (1) resta 14,5 % do C-14 (V); (2) idade ≈ 1,2×10⁴ anos ou 3 meias-vidas (F); (3) t½ do C-14 = 5730 anos (V). Sequência: V-F-V, correspondendo à alternativa c.","

Qual é a idade da madeira na qual 85,5\\% do C-14 se decompos?

",[238],{"_40":266,"_42":41,"_43":267,"_96":268,"_116":283,"_117":284,"_51":285},"3ce109b1-6cdb-4b4d-8816-a6af4d74bed0","c478a46c-46a8-4942-ae14-2e79def3dda2",[269,272,275,277,280],{"_43":270,"_100":101,"_102":271},"a5a16a42-3e58-4c76-80f2-c291aa2d8e49","Sim",{"_43":273,"_100":106,"_102":274},"5e6d0254-696c-4da0-b572-82e3a19f433e","Não",{"_43":266,"_100":110,"_102":276},"Indeterminado",{"_43":278,"_100":114,"_102":279},"35403f68-a880-429d-97f4-db507c58de38","Todos",{"_43":281,"_100":233,"_102":282},"2e06d948-d37e-4350-afc7-ced04941bcaf","Nenhum","Os polinômios e números fornecidos estão corrompidos (símbolos “????”), impossibilitando aplicar Ruffini e concluir se são raízes. Sem dados completos, o problema é indeterminado.","Emplea la regla de Ruffini para dictaminar si los siguientes números son o no raíces de los polinomios citados:
a) ????3 de ????4????5
b) ????2 de ????2????????2
c) ????1 de 2????????1
d) ????1 de 2????2????",[238],[238,287,296,302,306,307,308,316,321,329,330,335,341],{"_43":288,"_55":289,"_57":290,"_165":166,"_167":291,"_138":182,"_140":182,"_45":292,"_142":295},"861ad829-750d-4a44-9569-2f18b430b4df","Engenharia Mecatrônica","engenharia-mecatronica","eb9315c5-bd04-4116-aa46-02c4fde320c0",{"_170":293,"_172":173,"_174":294},5,30614,"engenharia-mecatronica-1",{"_43":297,"_55":79,"_57":62,"_165":166,"_167":298,"_138":299,"_140":299,"_45":300,"_142":301},"8850e507-a691-4d45-a7c7-16221e9c5af2","88fe96b3-2a17-4198-90d5-ddda3d6f5d45","2025-04-29T04:00:13.215003+00:00",{"_170":173,"_172":173,"_174":192},"resistencia-dos-materiais-6",{"_43":298,"_55":180,"_57":181,"_165":166,"_167":288,"_138":243,"_140":243,"_45":303,"_142":305},{"_170":293,"_172":173,"_174":304},25741,"mecanica-3",{"_43":162,"_55":163,"_57":164,"_165":166,"_167":-5,"_138":168,"_140":168,"_45":169,"_142":164},{"_43":189,"_55":79,"_57":62,"_165":166,"_167":179,"_138":190,"_140":190,"_45":191,"_142":193},{"_43":309,"_55":310,"_57":311,"_165":166,"_167":291,"_138":182,"_140":182,"_45":312,"_142":315},"b6e37f32-f8e5-4025-bf0f-69ffc00fb331","Engenharia Civil","engenharia-civil",{"_170":313,"_172":173,"_174":314},21,45865,"engenharia-civil-3",{"_43":242,"_55":317,"_57":318,"_165":166,"_167":291,"_138":182,"_140":182,"_45":319,"_142":320},"Engenharia de Petróleo","engenharia-de-petroleo",{"_170":293,"_172":173,"_174":246},"engenharia-de-petroleo-1",{"_43":322,"_55":323,"_57":324,"_165":166,"_167":309,"_138":325,"_140":325,"_45":326,"_142":328},"c5bf57d4-c3d8-4365-b53e-085fa14a3a95","Estruturas","estruturas","2025-04-29T03:44:32.303369+00:00",{"_170":293,"_172":173,"_174":327},8852,"estruturas-1",{"_43":179,"_55":180,"_57":181,"_165":166,"_167":162,"_138":182,"_140":182,"_45":183,"_142":186},{"_43":331,"_55":79,"_57":62,"_165":166,"_167":239,"_138":332,"_140":332,"_45":333,"_142":334},"d1e4567b-f68a-49e1-b3e5-3888343d7871","2025-04-29T04:00:14.680867+00:00",{"_170":173,"_172":173,"_174":192},"resistencia-dos-materiais-7",{"_43":336,"_55":337,"_57":62,"_165":166,"_167":322,"_138":338,"_140":338,"_45":339,"_142":340},"da8d2ecf-e949-4afc-966f-98b4b367fac1","Resistencia dos Materiais","2025-04-29T04:00:06.9766+00:00",{"_170":173,"_172":173,"_174":192},"resistencia-dos-materiais-5",{"_43":291,"_55":342,"_57":343,"_165":166,"_167":-5,"_138":344,"_140":344,"_45":345,"_142":343},"Engenharia","engenharia","2025-04-29T01:55:38.635246+00:00",{"_170":346,"_172":173,"_174":347},29,351586,"tagsTree",[161,350],{"_43":291,"_55":342,"_57":343,"_165":166,"_167":-5,"_138":344,"_140":344,"_45":345,"_142":343,"_176":351},[352,358,364],{"_43":288,"_55":289,"_57":290,"_165":166,"_167":291,"_138":182,"_140":182,"_45":292,"_142":295,"_176":353},[354],{"_43":298,"_55":180,"_57":181,"_165":166,"_167":288,"_138":243,"_140":243,"_45":303,"_142":305,"_176":355},[356],{"_43":297,"_55":79,"_57":62,"_165":166,"_167":298,"_138":299,"_140":299,"_45":300,"_142":301,"_176":357},[],{"_43":309,"_55":310,"_57":311,"_165":166,"_167":291,"_138":182,"_140":182,"_45":312,"_142":315,"_176":359},[360],{"_43":322,"_55":323,"_57":324,"_165":166,"_167":309,"_138":325,"_140":325,"_45":326,"_142":328,"_176":361},[362],{"_43":336,"_55":337,"_57":62,"_165":166,"_167":322,"_138":338,"_140":338,"_45":339,"_142":340,"_176":363},[],{"_43":242,"_55":317,"_57":318,"_165":166,"_167":291,"_138":182,"_140":182,"_45":319,"_142":320,"_176":365},[366],{"_43":239,"_55":240,"_57":241,"_165":166,"_167":242,"_138":243,"_140":243,"_45":244,"_142":241,"_176":367},[368],{"_43":331,"_55":79,"_57":62,"_165":166,"_167":239,"_138":332,"_140":332,"_45":333,"_142":334,"_176":369},[],"videoDislikes",{},"videoLikes",{},"actionData","errors"]

Comentários